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Weak MPCEP and *CEPMP inverses Cover

References

  1. O.M. Baksalary, G. Trenkler, Core inverse of matrices, Linear Multilinear Algebra 58(6) (2010), 681-697.
  2. A. Ben-Israel, T.N.E. Greville, Generalized inverses: theory and applications, Canadian Mathematical Society, Springer, New York, Beflin, Heidelberg, Hong Kong, London, Milan, Paris, Tokyo, 2003.
  3. S.L. Campbell, C.D. Meyer, Weak Drazin inverses, Linear Algebra Appl. 20 (1978), 167–178.
  4. J.L. Chen, D. Mosić, S.Z. Xu, On a new generalized inverse for Hilbert space operators, Quaest. Math. 43 (2020), 1331–1348.
  5. C.Y. Deng, H.K. Du, Representations of the Moore-Penrose inverse of 2 × 2 block operator valued matrices, J. Korean Math. Soc. 46(6) (2009), 1139–1150.
  6. Y. Gao, J. Chen, Pseudo core inverses in rings with involution, Commun. Algebra 61 (2018), 886-891.
  7. I.I. Kyrchei, D. Mosić, P.S. Stanimirović, MPCEP-* CEPMP-solutions of some restricted quaternion matrix equations, Adv. Appl. Clifford Algebras 32 (2022), 16.
  8. I.I. Kyrchei, D. Mosić, P.S. Stanimirović, Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses, Adv. Appl. Clifford Algebras 32 (2022), 35.
  9. I.I. Kyrchei, D. Mosić, P.S. Stanimirović, W-MPCEP-N-CEPMP-solutions to quaternion matrix equations with constrains, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 117(4) (2023), 155.
  10. S.B. Malik, N. Thome, On a new generalized inverse for matrices of an arbitrary index, Appl. Math. Comput. 226 (2014), 575–580.
  11. M. Mehdipour, A. Salemi, On a new generalized inverse of matrices, Linear Multilinear Algebra 66(5) (2018), 1046–1053.
  12. E.H. Moore, On the reciprocal of the general algebraic matrix, Bull. Amer. Math. Soc. 26 (1920), 394–395.
  13. D. Mosić, Perturbation of the weighted core-EP inverse, Ann. Funct. Anal. 11 (2020), 75–86.
  14. D. Mosić, Weak MPD and DMP inverses, J. Math. Anal. Appl. 540(2) (2024), 128653.
  15. D. Mosić, I.I. Kyrchei, P.S. Stanimirović, Representations and properties for the MPCEP inverse, J. Appl. Math. Comput. 67, 101–130 (2021).
  16. K.M. Prasad, K.S. Mohana, Core–EP inverse, Linear Multilinear Algebra 62(6) (2014), 792–802.
  17. P.S. Stanimirović, D. Mosić, Y. Wei, A Survey of Composite Generalized Inverses, Chapter 1 In: Generalized Inverses: Algorithms and Applications (editor Ivan Kyrchei), Series: Mathematics Research Development, Nova Science Publishers Inc, New York, 2022, ISBN: 978-1-68507-356-5, DOI: https://doi.org/10.52305/MJVE4994.
  18. K.S. Stojanović, D. Mosić, Weighted MPCEP inverse of an operator between Hilbert spaces, Bull. Iran. Math. Soc. 48 (2022), 53–71.
  19. H. Wang, Core-EP decomposition and its applications, Linear Algebra Appl. 508 (2016), 289–300.
  20. H. Wang, J. Chen, Weak group inverse, Open Mathematics 16 (2018), 1218–1232.
  21. C. Wu, J. Chen, Minimal rank weak Drazin inverses: a class of outer inverses with prescribed range, Electron. J. Linear Algebra 39 (2023), 1–16.
  22. S.Z. Xu, X.F. Cao, X. Hua, B.L. Yu, On one-sided MPCEP-inverse for matrices of an arbitrary index, Ital. J. Pure Appl. Math. 51 (2024), 519–537.
  23. J. Yao, X. Liu, H. Jin, Characterizations of the generalized MPCEP inverse of rectangular matrices, J. Appl. Math. 2023(1) (2023), 6235312.
  24. M. Zhou, J. Chen, Integral representations of two generalized core inverses, Appl. Math. Comput. 333 (2018), 187–193.
  25. Y. Zhou, J. Chen, M. Zhou, m-weak group inverses in a ring with involution, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 115 (2021), 2.
DOI: https://doi.org/10.2478/auom-2025-0029 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 67 - 92
Submitted on: Feb 20, 2025
Accepted on: Jun 14, 2025
Published on: Nov 29, 2025
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2025 Dijana Mosić, published by Ovidius University of Constanta
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